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Finding the Third Proportional to 135,225 and 195,864.75

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Solution

The third proportional to 135,225 and 195,864.75 is: 283,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,225 : 195,864.75 = 195,864.75 : x
  2. Step 2: Convert to fraction form
    135,225/195,864.75 = 195,864.75/x
  3. Step 3: Cross multiply
    135,225x = 195,864.75 × 195,864.75
  4. Step 4: Simplify right side
    135,225x = 38,363,000,292.56
  5. Step 5: Solve for x
    x = 38,363,000,292.56/135,225
  6. Step 6: Final answer
    x = 283,697.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.